Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846z |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
5733200931913728 = 216 · 39 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47819,-1699109] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:314:1] |
Generators of the group modulo torsion |
j |
614363455856331/291276783616 |
j-invariant |
L |
9.9994011819783 |
L(r)(E,1)/r! |
Ω |
0.33821810123433 |
Real period |
R |
1.8478093620443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27846d1 |
Quadratic twists by: -3 |